Which inequality is represented by the graph?

Sarah's Surfboards charges a fee of $60 to rent a

Veseljchak [2.6K]

Answer:C 12hours

Step-by-step explanation:

4 0

3 years ago

Derivatives concept: Exercises using the definition of derivatives: (Full development)

krok68 [10]

(A) f(x) = 7 is constant, so f(x + h) = 7, too, which makes f(x + h) - f(x) = 0. So f'(x) = 0.

(B) f(x) = 5x + 1 ==> f(x + h) = 5 (x + h) + 1 = 5x + 5h + 1

==> f(x + h) - f(x) = 5h

Then

$\displaystyle f'(x) = \lim_{h\to0}\frac{5h}h = \lim_{h\to0}5 = 5$

(C) f(x) = x ² + 3 ==> f(x + h) = (x + h)² + 3 = x ² + 2xh + h ² + 3

==> f(x + h) - f(x) = 2xh + h ²

$\implies\displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2}h = \lim_{h\to0}(2x+h) = 2x$

(D) f(x) = x ² + 4x - 1 ==> f(x + h) = (x + h)² + 4 (x + h) - 1 = x ² + 2xh + h ² + 4x + 4h - 1

==> f(x + h) - f(x) = 2xh + h ² + 4h

$\implies \displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2+4h}h = \lim_{h\to0}(2x+h+4) = 2x+4$

5 0

3 years ago

El área de un rectángulo se calcula multiplicando la longitud de la base por la longitud de la altura. La base del rectángulo mi

NemiM [27]

Answer:

the height of the rectangle is 13 cm

Step-by-step explanation:

The computation of the height of the rectangle is shown below:

As we know that

Area of rectangle = base × height

156 cm^2 = × 12 × height

So, the height is

= 156 ÷ 12

= 13 cm

hence, the height of the rectangle is 13 cm

7 0

3 years ago

If cosVz=0.1673413807, find Vz. Thanks- thold you it was easy.

12345 [234]

Answer:

Vz = arccos(0.1673413807) = 80.37º

Step-by-step explanation:

The inverse function of the cosine is the arc cosine.

That means, that if we have that cos a = 1, a is the angle which has cosine equals 1, so a = arccos(1) = 0º.

In this problem, we have that:

cos(Vz) = 0.1673413807

Vz = arccos(0.1673413807) = 80.37º

4 0

3 years ago

You survey your class to find out the types of pets they have at home. Below are the results: Dog, Dog, Cat, Cat, Cat, Dog, Hams

Fynjy0 [20]

Answer:

a) Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

b) Relative frequencies of each animal type

Dog: 4/10 = 0.4
Cat: 3/10 = 0.3
Fish: 2/10 = 0.2
Hamster: 1/10 = 0.1

c) Popularity

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

Explanation:

a. Make a frequency table for the results.

There are four kind of pets: dog, cat, hamster, and fish.

A frequency table shows the number of items for each category (kind of pets).

Count the number of each kind of pet:

Dog: 4
Cat: 3
Hamster: 1
Fish: 2
Total: 10

With that you build your frequency table.

Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

b. Relative frequencies of each animal type.

The relative frequency is how often an outcome appears divided by the total number of outmcomes.

Here the total number of outcomes is 10 (the ten pets).

So, calculate each relative frequency:

Dog: 4/10 = 0.4
Cat: 3/10 = 0.3
Fish: 2/10 = 0.2
Hamster: 1/10 = 0.1

An important feature of the relative frequency is that they must add up 1. Check:

0.4 + 0.3 + 0.2 + 0.1 = 1.

c. Using the relative frequencies explain which animals are most and least popular.

Popularity is determined by the frequency with each outcome is repeated. The most popular is the most repeated. The least popular is the least repeated.

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

7 0

4 years ago